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Small Mersenne Prime Factors
Prime numbers of the form Mp= 2p − 1 are called Mersenne primes. For Mp to be prime, p must also be prime.
Any factor q of a Mersenne number 2p − 1 must be of the form 2kp + 1, where integer k ≥ 0. Furthermore, q must be 1 or 7 mod 8.
Exponent Prime Factor Digits Year
749243934495463599 ~1994
749286111498572239 ~1992
749310231498620479 ~1992
749321031498642079 ~1992
74934863239791561710 ~1995
749349614496097679 ~1994
749361111498722239 ~1992
749363334496179999 ~1994
749372511498745039 ~1992
749387391498774799 ~1992
749394374496366239 ~1994
749430174496581039 ~1994
749433711498867439 ~1992
749448174496689039 ~1994
74946173104924642310 ~1995
749464791498929599 ~1992
749470791498941599 ~1992
749473311498946639 ~1992
74948213104927498310 ~1995
74949361119918977710 ~1995
749495031498990079 ~1992
749497791498995599 ~1992
749501031499002079 ~1992
749506431499012879 ~1992
749520231499040479 ~1992
Exponent Prime Factor Digits Year
749546991499093999 ~1992
749555631499111279 ~1992
749562231499124479 ~1992
749571111499142239 ~1992
749586831499173679 ~1992
749592111499184239 ~1992
749598115996784899 ~1994
749615391499230799 ~1992
749636391499272799 ~1992
749674431499348879 ~1992
749679231499358479 ~1992
749683911499367839 ~1992
749694831499389679 ~1992
749695911499391839 ~1992
749704191499408399 ~1992
749730231499460479 ~1992
74973541119957665710 ~1995
749741031499482079 ~1992
749742831499485679 ~1992
749764375998114979 ~1994
749766231499532479 ~1992
749773675998189379 ~1994
749789031499578079 ~1992
749800431499600879 ~1992
749834391499668799 ~1992
Exponent Prime Factor Digits Year
749862111499724239 ~1992
74986273119978036910 ~1995
749882991499765999 ~1992
749932795999462339 ~1994
749938191499876399 ~1992
750002876000022979 ~1994
75002749585021442310 ~1996
750031974500191839 ~1994
750055311500110639 ~1992
75007739540055720910 ~1996
750078111500156239 ~1992
750082431500164879 ~1992
750121014500726079 ~1994
750137031500274079 ~1992
750142871935368604711 ~1998
750152516001220099 ~1994
750164391500328799 ~1992
750172316001378499 ~1994
750228231500456479 ~1992
750236391500472799 ~1992
750240111500480239 ~1992
750246711500493439 ~1992
750262974501577839 ~1994
750296391500592799 ~1992
750304911500609839 ~1992
Exponent Prime Factor Digits Year
750311391500622799 ~1992
750329991500659999 ~1992
750336831500673679 ~1992
75034051315143014310 ~1996
75034123180081895310 ~1995
750343916002751299 ~1994
750354831500709679 ~1992
75035899540258472910 ~1996
750371391500742799 ~1992
750372711500745439 ~1992
750413991500827999 ~1992
750420591500841199 ~1992
750438774502632639 ~1994
75044603180107047310 ~1995
750465711500931439 ~1992
750496037504960319 ~1994
750506031501012079 ~1992
75052801300211204110 ~1996
750533991501067999 ~1992
750549711501099439 ~1992
750569391501138799 ~1992
750580191501160399 ~1992
750600591501201199 ~1992
750608511501217039 ~1992
75061993120099188910 ~1995
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